In triangle ABC, the right angle is at vertex C, c = 730 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side a?

8.6

Step-by-step explanation:

We use the sine function since side BC is opposite angle A.

By the definition, Sine function is the ratio of the opposite side to the hypotenuse of a right triangle.

Therefore,

sin

A

=

B

C

A

B

substituting the values

A

=

35

°

A

B

=

15

sin

35

°

=

B

C

15

multiply both sides of the equation by 15

and using reflexive property of equality

B

C

=

15

⋅

sin

35

°

B

C

=

8.6

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

a c

step-by-step explanation: